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Quantum Physics
Title: A thermodynamic approach to optimization in complex quantum systems
(Submitted on 10 May 2023 (v1), last revised 28 Mar 2024 (this version, v2))
Abstract: We consider the problem of finding the energy minimum of a complex quantum Hamiltonian by employing a non-Markovian bath prepared in a low energy state. The energy minimization problem is thus turned into a thermodynamic cooling protocol in which we repeatedly put the system of interest in contact with a colder auxiliary system. By tuning the internal parameters of the bath, we show that the optimal cooling is obtained in a regime where the bath exhibits a quantum phase transition in the thermodynamic limit. This result highlights the importance of collective effects in thermodynamic devices. We furthermore introduce a two-step protocol that combines the interaction with the bath with a measure of its energy. While this protocol does not destroy coherence in the system of interest, we show that it can further enhance the cooling effect.
Submission history
From: Alberto Imparato [view email][v1] Wed, 10 May 2023 09:34:25 GMT (6923kb,D)
[v2] Thu, 28 Mar 2024 10:48:12 GMT (3657kb,D)
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